Question

Please help me this my e -learning work

Answer 1

1.
`=11x+9`

2.
`=7a+17`

3.
`=14k+10`

4.
`=3r+19`

5.
`=8w+19`

6.
`=(19)/(2)p+16`

7.
`=8x+18y`

8.
`=11m+7n+14`

9. ???

10.
`=(4p+5q)/(6)+(1)/(4)`

Explanation:

`4x+9+7x`

`\mathrm{Group\:like\:terms}`

`=4x+7x+9`

`\mathrm{Add\:similar\:elements:}\:4x+7x=11x`

`=11x+9`

`7a+1+16`

`\mathrm{Add\:the\:numbers:}\:1+16=17`

`=7a+17`

`9+6k+8k+1`

`\mathrm{Group\:like\:terms}`

`=6k+8k+9+1`

`\mathrm{Add\:the\:numbers:}\:9+1=10`

`=6k+8k+10`

`\mathrm{Add\:similar\:elements:}\:6k+8k=14k`

`=14k+10`

`r+14+5+2r`

`\mathrm{Add\:the\:numbers:}\:14+5=19`

`=r+19+2r`

`\mathrm{Group\:like\:terms}`

`=r+2r+19`

`\mathrm{Add\:similar\:elements:}\:r+2r=3r`

`=3r+19`

`6+7w+w+13`

`\mathrm{Group\:like\:terms}`

`=7w+w+6+13`

`\mathrm{Add\:the\:numbers:}\:6+13=19`

`=7w+w+19`

`\mathrm{Add\:similar\:elements:}\:7w+w=8w`

`=8w+19`

`(1)/(2)p+14+2+9p`

`\mathrm{Add\:the\:numbers:}\:14+2=16`

`=(1)/(2)p+16+9p`

`\mathrm{Group\:like\:terms}`

`=9p+(1)/(2)p+16`

`\mathrm{Factor\:out\:common\:term\:}p`

`=p\left(9+(1)/(2)\right)+16`

`=p(19)/(2)+16`

`=(19)/(2)p+16`

`8x+3y+15y`

`\mathrm{Add\:similar\:elements:}\:3y+15y=18y`

`=8x+18y`

`3m+7n+14+8m`

`\mathrm{Group\:like\:terms}`

`=3m+8m+7n+14`

`\mathrm{Add\:similar\:elements:}\:3m+8m=11m`

`=11m+7n+14`

Cant see the next one the number before w

`(2)/(3)p+(5)/(6)q+(1)/(4)`

`=(2p)/(3)+(5q)/(6)+(1)/(4)`

`=(4p+5q)/(6)+(1)/(4)`